International Journal of Mathematical Sciences and Computing (IJMSC)
IJMSC Vol. 11, No. 2, 8 Jun. 2025
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Stochastic Model Including Refining Stage to Improve Water Supply System in Bangladesh
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Author(s)
Md. Asaduzzaman
1
Nazrul Islam
2,*
Sabina Yeasmin
3
Md. Babul Hasan
4
Index Terms
Stochastic Programming, Recourse Problem, Risk Aversion Optimization
Abstract
People around the world use fresh water daily for drinking, sanitation, and washing. At the same time, they discharge wastewater into canals, which can be harmful to both human health and the ecosystem of surface water sources. A significant amount of water is consumed for washing purposes. However, it is possible to disinfect and purify this large volume of wastewater for reuse. The process of treating used wastewater is known as refinement. This study aims to develop a two-stage stochastic recourse model that refines wastewater before it is released into the environment. The goal is to ensure that the refined wastewater does not harm the ecosystem. The treated water can then be repurposed for various secondary uses. The proposed model will account for uncertainties related to the availability of water from the supplying authority. To evaluate the effectiveness of this model, we will compare the costs of the water supply system both with and without refinement. The advantages of the proposed model will be assessed through calculations of the expected value of perfect information (EVPI), the value of the stochastic solution (VSS), the recourse solution (RS), the wait-and-see solution (WS), and the expected solution based on first-stage decisions (EEV). Additionally, a risk-averse (RA) optimization model will be used to analyze the sensitivity of system costs.
Cite This Paper
Md. Asaduzzaman, Nazrul Islam, Sabina Yeasmin, Md. Babul Hasan, "Stochastic Model Including Refining Stage to Improve Water Supply System in Bangladesh", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.11, No.2, pp. 52-62, 2025. DOI: 10.5815/ijmsc.2025.02.05
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